{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f59bd8fb-a60a-4285-9ffb-e972c6c2b2a0",
   "metadata": {},
   "source": [
    "# qRAM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "72824c24-0f76-4f3a-ae2c-1b2586b58490",
   "metadata": {},
   "outputs": [],
   "source": [
    "from quantpiler.qram import new_qram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6c447f0f-f982-455d-b5fa-368aae0296c1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1589.54x451.5 with 1 Axes>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "values = {0: 1, 1: 3, 2: 6, 3: 7}\n",
    "qram = new_qram(2, 3, values)\n",
    "\n",
    "qram.draw(output=\"mpl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5b245079-8e6a-4649-a91c-593d54b98220",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1589.54x451.5 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "values = [1, 3, 6, 7]\n",
    "qram = new_qram(2, 3, values)\n",
    "\n",
    "qram.draw(output=\"mpl\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
